On Tue, Feb 04, 2003 at 16:28:45 +0300, Andrey A. Chernov wrote:
> 
> I'll produce working variant based on your patch...
> 

When all done correctly, there is repeated pattern still, so some NSHUFF 
drop required too:
1 7 e 4 a 0 7 d 3 a 0 6

See attached patch based on -current sources.

-- 
Andrey A. Chernov
http://ache.pp.ru/
--- /usr/src/lib/libc/stdlib/rand.c     Tue Feb  4 14:24:08 2003
+++ ./rand.c    Tue Feb  4 16:40:24 2003
@@ -51,10 +51,8 @@
 #include <stdio.h>
 #endif /* TEST */
 
-#define NSHUFF 100      /* to drop part of seed -> 1st value correlation */
-
 static int
-do_rand(unsigned long *ctx)
+do_rand(uint32_t *ctx)
 {
 #ifdef  USE_WEAK_SEEDING
 /*
@@ -65,24 +63,25 @@
        return ((*ctx = *ctx * 1103515245 + 12345) % ((u_long)RAND_MAX + 1));
 #else   /* !USE_WEAK_SEEDING */
 /*
- * Compute x = (7^5 * x) mod (2^31 - 1)
- * wihout overflowing 31 bits:
- *      (2^31 - 1) = 127773 * (7^5) + 2836
- * From "Random number generators: good ones are hard to find",
- * Park and Miller, Communications of the ACM, vol. 31, no. 10,
- * October 1988, p. 1195.
+ * New algorithm derived from
+ *   The Laws of Cryptography: Pseudo-random Number Generation
+ *   by Neal R. Wagner
+ *   http://www.cs.utsa.edu/~wagner/laws/rng.html
+ * which itself is derived from work by Donald E. Knuth.
+ *
+ * This is a linear congruence generator using the equation
+ *
+ *   x(n+1) = (k * x(n) + a) mod m
+ *
+ * where m is 2^31 - 1, k is 62089911 and a is 0.
  */
-       long hi, lo, x;
+       uint64_t tmp;
 
        /* Can't be initialized with 0, so use another value. */
        if (*ctx == 0)
                *ctx = 123459876;
-       hi = *ctx / 127773;
-       lo = *ctx % 127773;
-       x = 16807 * lo - 2836 * hi;
-       if (x < 0)
-               x += 0x7fffffff;
-       return ((*ctx = x) % ((u_long)RAND_MAX + 1));
+       tmp = ((uint64_t)*ctx * 62089911) % 2147483647;
+       return ((*ctx = tmp) % ((uint32_t)RAND_MAX + 1));
 #endif  /* !USE_WEAK_SEEDING */
 }
 
@@ -90,7 +89,7 @@
 int
 rand_r(unsigned int *ctx)
 {
-       u_long val = (u_long) *ctx;
+       uint32_t val = (uint32_t)*ctx;
        int r = do_rand(&val);
 
        *ctx = (unsigned int) val;
@@ -98,7 +97,7 @@
 }
 
 
-static u_long next = 1;
+static uint32_t next = 1;
 
 int
 rand()
@@ -110,11 +109,7 @@
 srand(seed)
 u_int seed;
 {
-       int i;
-
        next = seed;
-       for (i = 0; i < NSHUFF; i++)
-               (void)do_rand(&next);
 }
 
 

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